quakap {lmomco} | R Documentation

## Quantile Function of the Kappa Distribution

### Description

This function computes the quantiles of the Kappa distribution given parameters (xi, α, kappa, and h) of the distribution computed by `parkap`. The quantile function of the distribution is

x(F) = xi + frac{α}{kappa}(1-{(frac{1-F^h}{h})}^kappa) mbox{,}

where x(F) is the quantile for nonexceedance probability f, xi is a location parameter, α is a scale parameter, kappa is a shape parameter, and h is another shape parameter.

### Usage

    quakap(f, para)

### Arguments

`f` | Nonexceedance probability (0 <= F <= 1).
`para` | The parameters from `parkap` or similar.

### Value

Quantile value for nonexceedance probability F.

### Author(s)

W.H. Asquith

### References

Hosking, J.R.M., 1990, L-moments—Analysis and estimation of distributions using linear combinations of order statistics: Journal of the Royal Statistical Society, Series B, vol. 52, p. 105–124.

Hosking, J.R.M., 1996, FORTRAN routines for use with the method of L-moments: Version 3, IBM Research Report RC20525, T.J. Watson Research Center, Yorktown Heights, New York.

Hosking, J.R.M. and Wallis, J.R., 1997, Regional frequency analysis—An approach based on L-moments: Cambridge University Press.

### See Also

`cdfkap`, `parkap`

### Examples

      lmr <- lmom.ub(c(123,34,4,654,37,78,21,32,231,23))
      quakap(0.5,parkap(lmr))

[Package lmomco version 0.92 Index]